Search a number
-
+
100011020010120 = 233251391998621503
BaseRepresentation
bin10110101111010110100001…
…010100100100001010001000
3111010002221220221102001020200
4112233112201110210022020
5101102040032110310440
6552412232303452200
730031362210525522
oct2657264124441210
9433087827361220
10100011020010120
112995948757195a
12b2729802b7060
1343a5cca2584ab
141a9a7b8610a12
15b867b1eb2c30
hex5af5a1524288

100011020010120 has 96 divisors (see below), whose sum is σ = 327374202355200. Its totient is φ = 26477737658496.

The previous prime is 100011020010119. The next prime is 100011020010127. The reversal of 100011020010120 is 21010020110001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100011020010127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 999260712 + ... + 999360791.

It is an arithmetic number, because the mean of its divisors is an integer number (3410147941200).

Almost surely, 2100011020010120 is an apocalyptic number.

100011020010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011020010120 is an abundant number, since it is smaller than the sum of its proper divisors (227363182345080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100011020010120 is a wasteful number, since it uses less digits than its factorization.

100011020010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998621659 (or 1998621652 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100011020010120 its reverse (21010020110001), we get a palindrome (121021040120121).

The spelling of 100011020010120 in words is "one hundred trillion, eleven billion, twenty million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 139 180 278 360 417 556 695 834 1112 1251 1390 1668 2085 2502 2780 3336 4170 5004 5560 6255 8340 10008 12510 16680 25020 50040 1998621503 3997243006 5995864509 7994486012 9993107515 11991729018 15988972024 17987593527 19986215030 23983458036 29979322545 35975187054 39972430060 47966916072 59958645090 71950374108 79944860120 89937967635 119917290180 143900748216 179875935270 239834580360 277808388917 359751870540 555616777834 719503741080 833425166751 1111233555668 1389041944585 1666850333502 2222467111336 2500275500253 2778083889170 3333700667004 4167125833755 5000551000506 5556167778340 6667401334008 8334251667510 10001102001012 11112335556680 12501377501265 16668503335020 20002204002024 25002755002530 33337006670040 50005510005060 100011020010120